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A Synthetic Version of Lie's Second Theorem

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If you have a question about this talk, please contact Dr Ignacio Lopez Franco.

This talk will describe an axiomatic treatment of Lie’s second theorem which generalises the classical version by replacing Lie groups with a special type of category. First we will recall a category theoretic formulation of Lie’s second and third theorems and briefly review the classical formal group law construction. Then we will sketch how to use the theory of synthetic differential geometry to define the infinitesimal part of a category. Finally we will abstract from this situation the appropriate data and properties that suffice to give a formal proof of the Lie’s second theorem for categories.

This talk is part of the Category Theory Seminar series.

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